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a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. ii. The Gauss forward difference formula. The Gauss backward difference formula Comment on your results in i. and ii. iii. X 0 1 2 3 4 f(x) -5 -2 7 34 91

a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. ii. The Gauss forward difference formula. The Gauss backward difference formula Comment on your results in i. and ii. iii. X 0 1 2 3 4 f(x) -5 -2 7 34 91

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. The Gauss forward difference formula. ii. The Gauss backward difference formula iii. Comment on your results in i. and ii. f(x) -5 1 -2 7 3 34 4 91 b. The equation x³ – 3x – 4 = 0 is of the form f(x) = 0 where f(1) < 0 and f(3) > 0. Thus, there is a solution to the equation between 1 and 3. Taking x = 2, use the Newton-Raphson method to find a better approximation to the root to 3 decimal places.
Transcribed Image Text:a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. The Gauss forward difference formula. ii. The Gauss backward difference formula iii. Comment on your results in i. and ii. f(x) -5 1 -2 7 3 34 4 91 b. The equation x³ – 3x – 4 = 0 is of the form f(x) = 0 where f(1) < 0 and f(3) > 0. Thus, there is a solution to the equation between 1 and 3. Taking x = 2, use the Newton-Raphson method to find a better approximation to the root to 3 decimal places.
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